Math, asked by manab69, 6 months ago

please explain...............​

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Answered by ERB
1

Answer:

c) -c/d

Step-by-step explanation:

ax³+bx²+cx+d = 0

the roots are α, β, γ

α+β+γ = -b/a

αβ+βγ+γα = c/a

αβγ=-d/a

now, \frac{1}{\alpha} +\frac{1}{\beta} +\frac{1}{\gamma} = \frac{\beta\gamma+\alpha\gamma+\alpha\beta}{\alpha\beta\gamma} = \frac{c/a}{-d/a} =-\frac{c}{d}

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